A square is a special type of quadrilateral, a four-sided polygon, with all sides of equal length and all angles of 90 degrees. This means that all the sides are the same length and all the angles are right angles.

**Equal sides:**All four sides of a square are of equal length.**Right angles:**All four angles of a square are right angles (90 degrees).**Diagonals:**The diagonals of a square are of equal length and bisect each other at right angles.**Perimeter:**The perimeter of a square is the sum of all its four sides, given by the formula:*Perimeter = 4 x side length*.**Area:**The area of a square is given by the formula:*Area = side length x side length*or*Area = side length*.^{2}

Here are the important formulas related to a square:

- Perimeter of a square:
*P = 4s*(where*P*is the perimeter and*s*is the length of a side) - Area of a square:
*A = s*(where^{2}*A*is the area and*s*is the length of a side)

Let's solve a couple of example problems to understand how to use the formulas for a square.

**Example 1:** Find the perimeter and area of a square with side length 5 cm.

*Perimeter = 4 x 5 = 20 cm*

*Area = 5 ^{2} = 25 cm^{2}*

**Example 2:** If the area of a square is 49 square units, find the length of each side.

*Area = s ^{2} = 49*

*s = √49 = 7 units*

Now, it's time to practice solving some problems related to squares. Try solving the following problems:

- Find the perimeter of a square with side length 8 cm.
- Calculate the area of a square with side length 12 meters.
- If the perimeter of a square is 20 units, find the length of each side.

By understanding the properties and formulas for squares, you can solve various problems related to this topic. Good luck with your practice problems!

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.